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#1 2009-03-10 02:34:37

ganesh
Moderator

Online

Differential Calculus - III

1. If x = a cos θ, y = b sin θ, find

.

2. If x = a(t - sin t), y = a(1 - cos t), find
.

3. If
, find
.

4. Differentiate
with respect to x2.

5. Differentiate

with respect to
.

6. Differentiate

with respect to
.

7. Find
if

(i)


(ii)
.

8. If y = a cos 5x + b sin 5x, show that
.

9. If y = a cos(log x) + b sin (log x), show that
.

10. If
,
show that
.


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